A fuzzy solution of wave equation by FFS‐transform

Abstract

In this paper, we introduce a fuzzy Fourier sine transform decomposition as an analytical solution of a fuzzy wave equation under generalized Hukuhara partial differentiability. Since the fuzzy transforms have already been proven to solve several problems in different fields, they propel us to utilize them as a practical and appropriate way to solve the wave equation. The theorems and properties are demonstrated in detail, then the efficiency of the proposed approach is confirmed through solving several examples.